1.Easy
A crate is pulled 8 m along a level floor by a rope that makes 40° with the horizontal. The tension in the rope is 60 N. Find the work W done by the rope on the crate.
F = 60 Nd = 8 mθ = 40°
W = J
Work & energy worksheet with answers
2.Easy
A crate is pulled 6 m along a level floor by a rope that makes 20° with the horizontal. The tension in the rope is 170 N. Find the work W done by the rope on the crate.
F = 170 Nd = 6 mθ = 20°
W = J
3.Medium
A 1 kg block slides 3 m down a slope at 25° to the horizontal, with a coefficient of kinetic friction of 0.35. Find the work Wf done against friction.
m = 1 kgθ = 25°μ = 0.35d = 3 mg = 9.81 m/s²
Wf = J
4.Medium
A toy launcher has a vertical spring of stiffness 500 N/m. A 0.2 kg ball is placed on it and the spring is compressed by 8 cm, then released. Ignoring air resistance and the spring’s mass, find the height h the ball rises, measured from its position when the spring was compressed.
m = 0.2 kgk = 500 N/mx = 8 cmg = 9.81 m/s²
h = m
5.Hard
A 2.5 kg block is released from rest at height 1.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 1.5 m long (μ = 0.1) and then runs onto a spring (k = 4000 N/m) on a smooth surface. Find the maximum compression x of the spring.
m = 2.5 kgh = 1.5 mL = 1.5 mμ = 0.1k = 4000 N/mg = 9.81 m/s²
x = cm
6.Hard
A 10 kg block is released from rest at height 3 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 3 m long (μ = 0.3) and then runs onto a spring (k = 4000 N/m) on a smooth surface. Find the speed v of the block when it reaches the spring.
m = 10 kgh = 3 mL = 3 mμ = 0.3k = 4000 N/mg = 9.81 m/s²
v = m/s
Answer key
- 1. W = 367.7 J
- 2. W = 958.5 J
- 3. Wf = 9.335 J
- 4. h = 0.8155 m
- 5. x = 12.87 cm
- 6. v = 6.419 m/s
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