**Q2: **

A block of mass 2.0 kg is on a perfectly smooth ramp that makes an angle of below the horizontal.

What is the magnitude of the block’s acceleration down the ramp?

What is the magnitude of the force of the ramp on the block?

What magnitude force applied upward along and parallel to the ramp would allow the block to move with constant velocity?

**Q3: **

A horizontal force is applied to a block that has a weight of 1.50 kN. The force holds the block at rest on a plane inclined at 30.0 degrees above the horizontal. Assuming no friction, calculate the horizontal force’s magnitude.

**Q4: **

A piano is pushed from rest upward along a frictionless ramp aligned above the horizontal. The direction of the applied force is parallel to the ramp. The piano’s mass is 286 kg and the magnitude of the force pushing the piano is N.

What is the magnitude of the piano’s acceleration along the ramp?

The ramp is 2.7 m long. What is the speed of the piano when it reaches the top of the ramp?

**Q5: **

A student’s backpack, full of textbooks, is hung from a spring scale attached to the ceiling of an elevator. When the elevator is accelerating downward at 3.8 m/s^{2}, the scale reads 60 N.

What is the mass of the backpack?

What
does the scale read if the elevator moves upward while
slowing down at a rate 3.8 m/s^{2}?

What does the scale read if the elevator moves upward at constant velocity?

If the elevator had no brakes and the cable supporting it were to break loose so that the elevator could fall freely, what would the spring scale read?

**Q6: **

A man with a mass of 75.0 kg measures his weight by standing on a bathroom scale. The man and the scale are inside an elevator that can move at different rates.

What is the measurement of the man’s weight according to the scale if
the elevator is accelerating vertically upward at a rate of
1.20 m/s^{2}?

What is the measurement of the man’s weight according to the scale if the elevator is moving vertically upward at a speed of 1.20 m/s?

What is the measurement of the man’s
weight according to the scale if the elevator is accelerating
vertically downward at a rate of
1.20 m/s^{2}?

- A 677 N
- B 723 N
- C 645 N
- D 747 N
- E 735 N

**Q7: **

A
120 kg
astronaut is riding in a rocket sled that is sliding along an inclined plane.
The sled has a horizontal component of acceleration of
5.0 m/s^{2} and a downward component of
3.8 m/s^{2}.
Calculate the magnitude of the force on the rider by the sled.
Remember that gravitational acceleration must be considered.