Answer:
d) -4.0
Explanation:
The magnification of a lens is given by

where
M is the magnification
q is the distance of the image from the lens
p is the distance of the object from the lens
In this problem, we have
p = 50 cm is the distance of the object from the lens
q = 250 cm - 50 cm is the distance of the image from the lens (because the image is 250 cm from the obejct
Also, q is positive since the image is real
So, the magnification is

The force exerted on his torso by his legs during the deceleration is 4365 N.
<u>Explanation:</u>
Mass of the torso m=45kg
Height of the building s=3.5 m
Decelerating distance=0.71 m
when he jumps to the ground, the only acceleration is acceleration due to gravity g
<u>motion1 from top to ground </u>
initial velocity u=0
we have to calculate final velocity v using the following equation of motion.

use height of the building as the distance s as the jump from top to the ground is only described here.
<u>Motion 2 on the ground</u>
v=0
u=8.3(final velocity of motion 1)
The deceleration after striking the ground can be calculated from the equation of motion

The decelerating distance is used in the place of s since since the motion after hitting the ground is described in this case.
The equation of force is

Answer:
Option D
Explanation:
The work done can be given by the mechanical energy used to do work, i.e., Kinetic energy and potential energy provided to do the work.
In all the cases, except option D, the energy provided to do the useful work is not zero and hence work done is not zero.
In option D, the box is being pulled with constant velocity, making the acceleration zero and thus Kinetic energy of the system is zero. Hence work done in this case is zero.
Answer:
<em>The velocity with which the student goes down the bottom of glide is 12.48m/s.</em>
Explanation:
The Non conservative force is defined as a force which do not store energy or get he energy dissipate the energy from the system as the system progress with the motion.
Given are
<em> mass of the student 73 kg</em>
<em> height of water glide 11.8 m</em>
<em> work done as -5.5*10³ J</em>
Have to find speed at which the student goes down the glide.
According to<em> Law of Conservation of energy</em>,
K.E =P.E+Work Done
mv²/2=mgh +W
Rearranging the above eqn for v
v = √2(gh+W/m)
Substituting values,
V = 12.48 m/s.
<em>The velocity with which the student goes down the bottom of glide is 12.48m/s.</em>
Answer:
The force to be applied on the primary piston is 140.63 N.
Explanation:
To solve this problem we apply the following formulas:
Pascal principle: F=P*A Formula (1)
F=Force applied to the piston
P: Pressure
A= Piston area
Formula (2)
d= piston diameter
Nomenclature:
Fp= Force on the primary piston
Fs= Force on the secondary piston
Ap= Primary piston area
As= Secondary piston area
W= car weight
Calculation of the force Fp necessary to support the weight of the car.
Pascal principle: Fp=P*Ap (Equation1)
In (Equation1) we know Ap and we don't know P.
Pressure calculation:
We apply Newton's first law for a balanced Secondary piston -automobile system
Newton's first law: ∑F=0
W-Fs=0
W=Fs
W=P*As

We replace
in equation 1:






Calculation of Fp in Newtons (N):


Fp=140.63N