8. Fig. 4.1 shows a heavy ball B of weight W suspended from a fixed beam by two ropes P and Q. P and Q are both at an angle of 45° to the horizontal. The tensions in P and Q are each 30 N.
a. In the space below, draw a scale diagram to find the resultant of the tensions
in P and Q. Use a scale of 1.0cm to represent 5.0 N. Label the forces and show
their directions with arrows.

a. Please find attached the required scale diagram drawn to scale using Microsoft Word

The resultant tension, R = W = 42.415 N

Explanation:

The given parameters are;

The angle P and Q makes with the horizontal = 45°

The tensions in the ropes P and Q = 30 N each

The weight of the heavy ball B suspended from the fixed beam by the ropes = W

The scale drawing is drawn using Microsoft Word

The required scale factor of the scale diagram, S.F. = 5.0 N/cm

Therefore, we have;

The length of the line representing the tensions P and Q = 30 N/(5.0 N/cm) = 6 cm

The length of the resultant vector, R = +

By the parallelogram law of vector addition, by measurement, we have;

R = 8.483 cm

By conversion using the scale factor of the scale drawing, we have;

R = R × S.F. = 8.483 cm × 5.0 N/cm = 42.415 N

∴ The resultant in the tensions, R = + = 42.415.

the answer is neither ball has a charge.

because if they were both positively charged, they will repel each other.

if they were positively and negatively charged, they will seek.

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.