Answer:
r = 5.07 m
Explanation:
given,
velocity of the man , v = 3.43 m/s
centripetal acceleration, a = 2.32 m/s²
magnitude of position of = ?
using centripetal acceleration formula



r = 5.07 m
The magnitude of the position vector relative to rotational axis is equal to 5.07 m.
Answer:
n = 4.35 x 10¹⁹
Explanation:
Given that
Voltage V= 12 V
Power rating of headlights = 41.8 W
We know that headlights of the car is connected in parallel connection.
We know that
Power = Current x Voltage
P = V I

I=3.48 A
Therefore the total current will be
I'= 3.48 + 3.48 A
I = 6.96 A
We know that
Charge = Current x time
q= I' t
q= 6.96 x 1
q= 6.96 C
The charge on electron ,e= 1.6 x 10⁻¹⁹
q= n e
n=Number of electron


n = 4.35 x 10¹⁹
Answer:
The shearing stress is 10208.3333 Pa
The shearing strain is 0.25
The shear modulus is 40833.3332 Pa
Explanation:
Given:
Block of gelatin of 120 mm x 120 mm by 40 mm
F = force = 49 N
Displacement = 10 mm
Questions: Find the shear modulus, Sm = ?, shearing stress, Ss = ?, shearing strain, SS = ?
The shearing stress is defined as the force applied to the block over the projected area, first, it is necessary to calculate the area:
A = 40*120 = 4800 mm² = 0.0048 m²
The shearing stress:

The shearing strain is defined as the tangent of the displacement that the block over its length:

Finally, the shear modulus is the division of the shearing stress over the shearing strain:

Answer:
The maximum height the box will reach is 1.72 m
Explanation:
F = k·x
Where
F = Force of the spring
k = The spring constant = 300 N/m
x = Spring compression or stretch = 0.15 m
Therefore the force, F of the spring = 300 N/m×0.15 m = 45 N
Mass of box = 0.2 kg
Work, W, done by the spring =
and the kinetic energy gained by the box is given by KE = 
Since work done by the spring = kinetic energy gained by the box we have
=
therefore we have v =
=
=
= 5.81 m/s
Therefore the maximum height is given by
v² = 2·g·h or h =
=
= 1.72 m