Question:medium
A block of mass 5 kg starting from rest pulled up on a smooth incline plane making an angle of 30◦ with horizontal with an affective acceleration of 1 ms−2. The power delivered by the pulling force at t = 10 s from the starts is W. [use g=10 ms−2] (Calculate the nearest integer value)
A block of mass 5 kg starting from rest pulled up on a smooth incline plane making an angle of 30◦ with horizontal with an affective acceleration of 1 ms−2. The power delivered by the pulling force at t = 10 s from the starts is W. [use g=10 ms−2] (Calculate the nearest integer value)
Updated On: Mar 28, 2026
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Solution and Explanation
Given:
Mass m = 5 kg
Acceleration a = 1 m/s2
Angle θ = 30°
g = 10 m/s2
Time t = 10 s
Step 1: Velocity after 10 s
v = u + at = 0 + (1 × 10) = 10 m/s
Step 2: Forces along incline
Pulling force F = ma + mg sinθ
= 5×1 + 5×10×(1/2)
= 5 + 25 = 30 N
Step 3: Power delivered
Power P = F × v
= 30 × 10 = 300 W
Final Answer: 300
Mass m = 5 kg
Acceleration a = 1 m/s2
Angle θ = 30°
g = 10 m/s2
Time t = 10 s
Step 1: Velocity after 10 s
v = u + at = 0 + (1 × 10) = 10 m/s
Step 2: Forces along incline
Pulling force F = ma + mg sinθ
= 5×1 + 5×10×(1/2)
= 5 + 25 = 30 N
Step 3: Power delivered
Power P = F × v
= 30 × 10 = 300 W
Final Answer: 300
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