Question

1. What is the weight of a 200 kg object?
2. A woman exerts a force of 500 N straight up to lift a 35 kg basket. What is the acceleration of the basket?
3. An elevator of mass 3000 kg is ascending at a steady speed of 2.0 m/s. What is the force in the cable supporting the elevator?
4. A 49-N block is pulled by a horizontal force of 50.0 N along a rough horizontal surface at a constant acceleration of 6 m/s2.
What is the coefficient of friction?

Answer 1

Explanation:

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Answer 2

Question 1:

Weight of 200 kg object be W ;

$W = mg = 200 \times 10 = 2000 \: newton$

Question 2:

Let the acceleration be a :

$\therefore \: 500 - mg = ma$

$= > \: 500 - (35)(10) = (35)a$

$= > \: 500 - 350 = 35a$

$= > \: 35a = 150$

$= > \: a =4.28 \: m {s}^{ - 2}$

Question 3:

Since , the elevator is rising upwards with a constant velocity show the upward force provided by the cable will be equal and opposite to the weight of the elevator :

$\therefore \: F = mg = 3000 \times 10 = 3 \times {10}^{4} \: newton$

Question 4:

According to FBD of block:

$\therefore \: 50 - \mu(49) = ma$

$= > \: 50 - \mu(49) = \dfrac{49}{9.8} \times 6$

$= > \: 50 - \mu(49) = 5\times 6$

$= > \: 50 - \mu(49) = 30$

$= > \: \mu(49) = 20$

$= > \: \mu = \dfrac{20}{49}$

$= > \: \mu = 0.408$

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