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Starting from rest a car acquired a velocity of 16m/s in 4s.If mass of the cart is 3kg Find Force acting on it.Also find Distance travelled by the car . |
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Answer» Answer: Distance covered by car is 32 metres. Force acting on it is 12 newton. Explanation: According to the QUESTION It is given that Initial velocity ,U = 0m/s Final velocity ,v = 16m/s Time taken ,t = 4s Mass of cart ,m = 3kg we need to calculate the force acting on it and distance covered by it . Firstly we calculate the acceleration of the car . Using Kinematics Equation v = u + at Putting all the value we get ➺ 16 = 0 + a×4 ➺ 16 = 4×a ➺ a = 16/4 ➺ a = 4m/s² So, the acceleration of the car is 4m/s². As we KNOW that Force is calculated by the PRODUCT of mass and acceleration . F = ma substitute the value we get ➺ F = 3×4 ➺ F = 12N Hence, the force acting is 12 newton. Now, calculating the distance covered by car in given condition. again using Kinematics Equation v² = u² + 2as substitute the value we get ➺ 16² = 0² + 2×4 ×s ➺ 256 = 0 + 8 × s ➺ 256 = 8×s ➺ s = 256/8 ➺ s = 32m Hence, the distance covered by the car is 32 metres. Step-by-step explanation: hopes it's helps you :) |
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