Answer:
The pen requires 7.2 mJ of energy to extend.
Explanation:
Provided:
Length = 1.8 cm
Spring constant = 300 N/m
Initial compression = 1.0 mm
Additional compression = 6.0 mm
Total compression = 1.0 + 6.0 = 7.0 mm
We need to determine the energy needed
This energy is equivalent to the variation in spring potential energy


Substitute the values into the formula



Therefore, a total of 7.2 mJ is needed to extend the pen.
<span>A centripetal force maintains an object's circular motion. When the ball is at the highest point, we can assume that the ball's speed v is such that the weight of the ball matches the required centripetal force to keep it moving in a circle. Hence, the string will not become slack.
centripetal force = weight of the ball
m v^2 / r = m g
v^2 / r = g
v^2 = g r
v = sqrt { g r }
v = sqrt { (9.80~m/s^2) (0.7 m) }
v = 2.62 m/s
Thus, the minimum speed for the ball at the top position is 2.62 m/s.</span>
Answer:
3.5 cm
Explanation:
mass, m = 50 kg
diameter = 1 mm
radius, r = half the diameter = 0.5 mm = 0.5 x 10^-3 m
L = 11.2 m
Y = 2 x 10^11 Pa
Cross-sectional area of the wire = π r² = 3.14 x 0.5 x 10^-3 x 0.5 x 10^-3
= 7.85 x 10^-7 m^2
Let the change in length of the wire be ΔL.
The equation for Young's modulus is given by


ΔL = 0.035 m = 3.5 cm
Thus, the wire stretches by 3.5 cm.
Answer:
A.
Explanation:
Storing the linens in the closet will prevent them from becoming dirty or contaminated.
Answer:
The change in linear momentum of the ball amounts to 6 kg-m/s.
Explanation:
Provided that,
Ball mass, m = 1 kg
Initial ball speed, u = 3 m/s
Upon striking a wall, it rebounds, moving horizontally to the opposite side at the same speed of 3 m/s, thus v = -3 m/s
The change in linear momentum is calculated as follows:

Consequently, the magnitude of the change in linear momentum of the ball is 6 kg-m/s.