Answer:
<em>The mass of the apple is 0.172 kg (172 g)</em>
Explanation:
<u>The Law Of Conservation Of Linear Momentum
</u>
The total momentum of a system of bodies is conserved unless an external force is applied to it. The formula for the momentum of a body with mass m and speed v is
P=mv.
If we have a system of two bodies, then the total momentum is the sum of both momentums:

If a collision occurs and the velocities change to v', the final momentum is:

Since the total momentum is conserved, then:
P = P'
Or, equivalently:

If both masses stick together after the collision at a common speed v', then:

We are given the mass of an arrow m1=43 g = 0.043 kg traveling at v1=84 m/s to the right (positive direction). It strikes an apple of unknown mass m2 originally at rest (v2=0). The common speed after they collide is v'=16.8 m/s.
We need to solve the last equation for m2:

Factoring m2 and m1:

Solving:

Substituting:



The mass of the apple is 0.172 kg (172 g)
Answer:
The time taken is 6.7 min
Explanation:
Using the linear momentum conservation theorem, we have:

when she was 60.4m from the shuttle, she has zero speed, so the initial velocity is zero.

That is 0.15m/s in the opposite direction of the camera.
the time taken to get to the shuttle is given by:

Answer with Explanation:
We are given that
Current in conductor=I=4.99 A (-x direction)
Magnetic field=B=
(1mT=
)
x(in m) and B (in mT)
Length of conductor is given in negative x- direction


Force on current carrying conductor is given by


Integrating on both sides then we get

(
![\vec{F}=-(4.99\times 10^{-3}\times 8.72)[\frac{x^3\hat{k}}{3}]^{2.77}_{1.41}](https://tex.z-dn.net/?f=%5Cvec%7BF%7D%3D-%284.99%5Ctimes%2010%5E%7B-3%7D%5Ctimes%208.72%29%5B%5Cfrac%7Bx%5E3%5Chat%7Bk%7D%7D%7B3%7D%5D%5E%7B2.77%7D_%7B1.41%7D)


a. x- component of force=0
b.y- component of force=0
c.z- component of force=-0.268 N