(Solved):     A heavy object is suspended from the ceiling using two ropes as shown above. The ...

 

 

A heavy object is suspended from the ceiling using two ropes as shown above. The tension in each rope is 220 . \( N \), and the angle each rope makes with the vertical is \( \theta=43.4^{\circ} \). What is the mass of the object? \[ \begin{array}{l} 44.9 \mathrm{~kg} \\ 16.3 \mathrm{~kg} \\ 30.8 \mathrm{~kg} \\ 32.6 \mathrm{~kg} \end{array} \] Question 2 One day while moving boxes you get tired and decide to use a rocket instead. You attach a small rocket of negligible mass to a \( 86.2 \) kg box. When you turn the rocket on, it provides a constant thrust of \( 619 \mathrm{~N} \), and the sbox begins sliding across the pavement. If the magnitude of acceleration of the box is \( 2.23 \mathrm{~m} / \mathrm{s}^{2} \), what is the coefficient of kinetic friction between the soapbox and pavement? \[ \begin{array}{l} 0.228 \\ 0.505 \\ 0.759 \\ 0.960 \end{array} \] Question 3 A \( 1710 \mathrm{~kg} \) car slams on it's breaks and skids down a road sloped at \( 15.0^{\circ} \) from the horizontal. The coefficient of kinetic friction between the tires and the road is \( 0.400 \). What is the magnitude of acceleration of the car while it is skidding? One day while moving boxes you get tired and decide to use a rocket instead. You attach a sm the pavement. If the magnitude of acceleration of the box turn the rocket on, it provides a constant thrust of \( 619 \mathrm{~N} \), and the sbox begins sliding across is \( 2.23 \mathrm{~m} / \mathrm{s}^{2} \), \( 0.228 \) \( 0.505 \) \( 0.759 \) \( 0.960 \) Question 3 A \( 1710 \mathrm{~kg} \) car slams on it's breaks and skids down a road sloped at \( 15.0^{\circ} \) from the horizontal. The coefficient of kinetic friction between the tires and the road is \( 0.400 \). What is the magnitude of acceleration of the car while it is skidding? \[ \begin{array}{l} 1.25 \mathrm{~m} / \mathrm{s}^{2} \\ 1.38 \mathrm{~m} / \mathrm{s}^{2} \\ 5.88 \mathrm{~m} / \mathrm{s}^{2} \\ 6.32 \mathrm{~m} / \mathrm{s}^{2} \end{array} \]