1.Easy
A 2 kg block slides at 5.5 m/s on a smooth horizontal surface into a spring of stiffness 400 N/m. Find the maximum compression x of the spring, in cm.
m = 2 kgv = 5.5 m/sk = 400 N/m
x = cm
Work & energy worksheet with answers
2.Easy
A small ball hangs on a light string of length 0.5 m. It is pulled aside until the string makes 70° with the vertical and released from rest. Ignoring air resistance, find its speed v at the lowest point.
L = 0.5 mθ = 70°g = 9.81 m/s²
v = m/s
3.Medium
A 10 kg ball hangs on a light string of length 1.5 m. It is pulled aside until the string makes 30° with the vertical and released from rest. Find the tension T in the string when the ball passes the lowest point.
m = 10 kgL = 1.5 mθ = 30°g = 9.81 m/s²
T = N
4.Medium
A block slides from rest down a slope at 30° to the horizontal. The coefficient of kinetic friction is 0.1. Find its speed v after it has slid 17 m along the slope.
θ = 30°μ = 0.1d = 17 mg = 9.81 m/s²
v = m/s
5.Hard
A 2 kg block is released from rest at height 3 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 4 m long (μ = 0.2) and then runs onto a spring (k = 500 N/m) on a smooth surface. Find the maximum compression x of the spring.
m = 2 kgh = 3 mL = 4 mμ = 0.2k = 500 N/mg = 9.81 m/s²
x = cm
6.Hard
A 2.5 kg block is released from rest at height 3.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 1.5 m long (μ = 0.15) and then runs onto a spring (k = 500 N/m) on a smooth surface. Find the maximum compression x of the spring.
m = 2.5 kgh = 3.5 mL = 1.5 mμ = 0.15k = 500 N/mg = 9.81 m/s²
x = cm
Answer key
- 1. x = 38.89 cm
- 2. v = 2.541 m/s
- 3. T = 124.4 N
- 4. v = 11.74 m/s
- 5. x = 41.55 cm
- 6. x = 56.68 cm
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