MCAT Physical : MCAT Physical Sciences

Study concepts, example questions & explanations for MCAT Physical

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Example Questions

Example Question #2 : Newton's Second Law

What is the acceleration due to gravity on a planet on which an object with a mass of 20.0kg has a weight of 270N?

Possible Answers:

13.5m/s2

27m/s2

0.074m/s2

10m/s 2

Correct answer:

13.5m/s2

Explanation:

Solve the following equation for acceleration, using the values given in the question.





Example Question #61 : Forces

A 2kg lead ball is loaded into a spring cannon and the cannon is set at a 45º angle on a platform. The spring has a spring constant of 100N/m and the ball and spring system is compressed by 1m before launch. While the ball is in flight air resistance can be neglected, and the ball finishes its flight by landing at a cushion placed some distance away from the cannon.

When the ball leaves the cannon, how fast is it traveling?

Possible Answers:

5m/s 

10m/s 

20m/s 

9m/s 

Correct answer:

10m/s 

Explanation:

Think back to the 3 main kinematics equations that we know:

vf2 = vi2 + 2aΔx

vf = vi + at

Δx = vit + ½at2

Newton’s second law can be used in combination with the spring force equation to solve for the acceleration of the system. Remember that any force, whether it is kinematic, electrical, or gravitational, is equal to Newton’s second law. 

Fspring = kx = masystem

Now we need to choose which equation gives us the final velocity, given that we know the acceleration and the change in position (1m).

vf2 = vi2 + 2aΔx

vf= (0 m/s)2 + 2(50 m/s2)(1 m) = 100 m2/s2

Example Question #1 : Understanding Accelerations

A car moving at 40m/s suddenly applies a braking force and comes to rest in 20s, with constant deceleration. If the car has a mass of 2000kg, what is the braking force? 

Possible Answers:

40000N

–4000N

4000N

–2000N

–8000N

Correct answer:

–4000N

Explanation:

First we can calculate the acceleration.

Using F = ma with the magnitude of the acceleration we can find the force.

Example Question #3 : Newton's Second Law

A 2000kg car with a velocity of  collides head on with a 6000kg truck with a velocity of . Which vehicle experiences the greater force? Which experiences the greater acceleration?

Possible Answers:

The truck experiences the greater force and the car experiences the greater acceleration

The car and the truck experience equal force and the car experiences greater acceleration

The truck experiences the greater force and the greater acceleration

Both the car and the truck experience equal force and acceleration

The car experiences the greater force and the greater acceleration

Correct answer:

The car and the truck experience equal force and the car experiences greater acceleration

Explanation:

The car and the truck experience equal and opposite forces, but since the car has a smaller mass it will experience greater acceleration than the truck according to the equation F = ma.

A greater mass will decrease the acceleration.

Example Question #421 : Mcat Physical Sciences

A force of  is applied to a block with a mass of  on a frictionless surface. What is the acceleration of the block?

Possible Answers:

The block moves with a constant velocity

 

Correct answer:

 

Explanation:

For this question we must use Newton's second law. We have to use the formula .

 is the force being applied,  is the mass of the object, and  is the acceleration of the object

Example Question #11 : Newton's Second Law

A  cart is pushed so that it moves with a constant acceleration of . What was the force of the push?

Possible Answers:

Correct answer:

Explanation:

For this question we must use Newton's second law. We have to use the formula .

 is the force being applied,  is the mass of the object, and  is the acceleration of the object

Example Question #1 : Other Forces

Two children are playing on an icy lake. Child 1 weighs 50kg, and child 2 weighs 38kg. Child 1 has a backpack that weighs 10kg, and child 2 has a backpack that weighs 5kg.

Over the course of the afternoon, they collide many times. Four collisions are described below.

Collision 1:

Child 1 starts from the top of a ramp, and after going down, reaches the lake surface while going 5m/s and subsequently slides into a stationary child 2. They remain linked together after the collision.

Collision 2:

Child 1 and child 2 are sliding in the same direction. Child 2, moving at 10m/s, slides into child 1, moving at 2m/s.

Collision 3:

The two children collide while traveling in opposite directions at 10m/s each.

Collision 4:

The two children push off from one another’s back, and begin moving in exactly opposite directions. Child 2 moves with a velocity of +8m/s.

Regarding the force of gravity pulling child 1 down the ramp, and the force of friction acting on the two children moving after the collision __________.

Possible Answers:

the conservative nature of forces depend on the bodies being acted upon

friction is a conservative force and gravity is a nonconservative force

friction is a nonconservative force and gravity is a conservative force

both are conservative forces

both are nonconservative forces

Correct answer:

friction is a nonconservative force and gravity is a conservative force

Explanation:

Conservative forces are associated with a potential energy. The gravitational force that gives rise to the potential energy of child 1 at the top of the ramp is conserved, in a sense, as she converts it to kinetic energy during her trip down to the lake surface.

Friction has no associated potential energy, and so is considered nonconservative.

Example Question #421 : Mcat Physical Sciences

Which of the following is not a conservative force?

Possible Answers:

Gravity

Electrostatic attraction

Electrostatic repulsion

Friction

Correct answer:

Friction

Explanation:

Friction is a non-conservative force, meaning that the work it does depends on the path taken by the object. For example, moving a brick in a long zig-zag across the table will generate more heat from friction than moving it in a straight line across the table.

Electric and gravitational forces are conservative. This can be tested by knowing a constant equation to calculate the energy associated with these forces; such equations are applicable regardless of path. No such equation exists for frictional energy.

Example Question #422 : Mcat Physical Sciences

A 2kg lead ball is loaded into a spring cannon and the cannon is set at a 45º angle on a platform. The spring has a spring constant of 100N/m and the ball and spring system is compressed by 1m before launch. While the ball is in flight air resistance can be neglected, and the ball finishes its flight by landing at a cushion placed some distance away from the cannon.

If air resistance could not be neglected, how should the positioning of the cushion change?

Possible Answers:

Closer

Not Enough Information to Determine

Further

Same Location

Correct answer:

Closer

Explanation:

Air resistance is a form of friction that acts in the direction opposite motion, slowing down an object. If the ball spends less time in flight, it will travel less of a distance, requiring the cushion to be placed closer to the launch position.

Example Question #423 : Mcat Physical Sciences

Which of the following fundamental forces is the weakest in magnitude?

Possible Answers:

Weak force

Electromagnetic force

Nuclear force

Gravitational force

Correct answer:

Gravitational force

Explanation:

While one might expect the "weak" force to be the weakest of the four universal forces, the gravitational force is actually several orders of magnitude weaker than the weak force.

In order from strongest to weakest, the fundamental forces are the strong (nuclear) force, electromagnetic force, weak force, and gravitational force.

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