Answer: 5.8kg
Explanation:
F - mg sinΦ = ma
Given that
M=?
g= 9.8
Φ= 30
a= 2
F= 40 then
40 - 9.8 * m * sin 30 = 2 * m
40 = 2 * m + 9.8 * m * sin 30
40 = (2 + 9.8 * sin 30) m
m = 40 / (2 + 9.8 * 0.5)
m = 40 / (2 + 4.9)
m = 40 / 6.9
m = 5.797kg
m = 5.8kg
Answer:
The rate at which power is generated in the coil is 10.24 Watts
Explanation:
Given;
number of turns of the coil, N = 160
area of the coil, A = 0.2 m²
magnitude of the magnetic field, B = 0.4 T
time for field change = 2 s
resistance of the coil, R = 16 Ω
The induced emf in the coil is calculated as;
emf = dΦ/dt
where;
Φ is magnetic flux = BA
emf = N (BA/dt)
emf = 160 (0.4T x 0.2 m²)/dt
emf = 12.8 V/s
The rate power is generated in the coil is calculated as;
P = V²/ R
P = (12.8²) / 16
P = 10.24 Watts
Therefore, the rate at which power is generated in the coil is 10.24 Watts
Answer:37 J
Explanation:
Given
Step :1
Heat added Q=44 J
Work done=-20 J

Step :2
Heat added Q=-61 J
work done 



as the process is cyclic


work done in compression is 37 J
Given :
A 120 kg box is on the verge of slipping down an inclined plane with an angle of inclination of 47º.
To Find :
The coefficient of static friction between the box and the plane.
Solution :
Vertical component of force :

Horizontal component of force(Normal reaction) :

Since, box is on the verge of slipping :

Therefore, the coefficient of static friction between the box and the plane is 1.07.
Hence, this is the required solution.
Answer
Given,
Time period of star,T = 3.37 x 10⁷ s
Radius of circular orbit,R = 1.04 x 10¹¹ m
a) Angular speed of the planet

b) tangential speed

v = 1.94 x 10⁴ m/s
c) centripetal acceleration magnitude

a = 3.62 x 10⁻³ m/s²