A boy weight 78n sits on a bag of cement weighting 50kg.find the reaction of the ground on the bag of cement and the boy.take g=10ms

Chemistry

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Answer

578 N578 \, \text{N}

Step-by-step solution

3 steps
  1. Calculate the weight of the bag of cement.

    The mass of the cement bag is 50 kg50 \, \text{kg} and the acceleration due to gravity g=10 m/s2g = 10 \, \text{m/s}^2.
    The weight of the cement bag is given by Wcement=mcement×gW_{\text{cement}} = m_{\text{cement}} \times g.

    Wcement=50 kg×10 m/s2=500 NW_{\text{cement}} = 50 \, \text{kg} \times 10 \, \text{m/s}^2 = 500 \, \text{N}
  2. Calculate the total downward force exerted on the ground.

    The total downward force is the sum of the boy's weight and the cement bag's weight.
    Boy's weight Wboy=78 NW_{\text{boy}} = 78 \, \text{N}.
    Total downward force Ftotal=Wboy+WcementF_{\text{total}} = W_{\text{boy}} + W_{\text{cement}}.

    Ftotal=78 N+500 N=578 NF_{\text{total}} = 78 \, \text{N} + 500 \, \text{N} = 578 \, \text{N}
  3. Determine the reaction of the ground.

    According to Newton's third law, the reaction force from the ground is equal in magnitude and opposite in direction to the total downward force exerted on it.
    Therefore, the reaction of the ground on the bag of cement and the boy is 578 N578 \, \text{N}.

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