The plus direction is going to go with the 10N to the right. Since the second force is applied in exactly the opposite direction, the net force 10 - 3 = 7 newtons to the right.
Answer:
3.7 km
62.7175453187 seconds
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
g = Acceleration due to gravity = 9.81 m/s²
The maximum altitude of the rocket is 750+875+2038.73598369 = 3663.73598369 m = 3.7 km
Time taken to reach the ground from max height 27.3301854818 seconds
Time to reach max height during free fall after stage 2 ends is 20.3873598369 s
Total time of flight is 10+5+20.3873598369+27.3301854818 = 62.7175453187 seconds
Answer:
The tension in the rod as the ball moves through the bottom circle is 9.8 N
Explanation:
When the ball is released from rest, the centripetal force equals the weight of the ball. So mv²/r = mg where m = mass of ball = 0.5 kg, v = speed of ball, r = radius of vertical circle = length of rod = 0.5 m and g = acceleration due to gravity = 9.8 m/s²
v = √gr = √9.8 m/s² × 0.5 m = √4.9 = 2.21 m/s
Now at the bottom of the circle T - mg = mv²/r where T = tension in the rod
T = m(g + v²/r)
= m(g + (√gr)²/r)
= m(g+ gr/r)
= m(g + g)
= 2mg
= 2 × 0.5 kg × 9.8 m/s²
= 9.8 N
So, the tension in the rod as the ball moves through the bottom circle is 9.8 N