Answer:
(a) 31.75 mph
(b) 31.77 mph
Explanation:
(a) For t = 10 min = 10 / 60 = 1 / 6 hour
According to the question,
dx /dt = 15 mph
dy / dt = 28 mph
After 10 minutes
x = 1/6 x 15 = 2.5 miles
y = 1/6 x 28 = 4.67 miles
According to diagram
Differentiate both sides with respect to t.
2D dD/dt = 2 x dx/dt + 2y dy/dt
D dD/dt = x dx/dt + y dy/dt
5.3 dD/dt = 2.5 (15) + 4.67 (28)
dD/dt = 31.75 miles/hour
(b) For t = 55 minutes = 55 / 60 hours
After 55 / 60 hours
x = 55 / 60 (15) = 13.75 miles
y = 55 / 60 (28) = 25.67 miles
According to diagram
Differentiate both sides with respect to t.
2D dD/dt = 2 x dx/dt + 2y dy/dt
D dD/dt = x dx/dt + y dy/dt
29.12 dD/dt = 13.75 (15) + 25.67 (28)
dD/dt = 31.77 miles/hour
Answer:
F = 29.9 N
Explanation:
It is given that, The Sun exerts a gravitational force of 29.9 N on a rock that's located in a river bed here on Earth. We need to find the gravitational force the rock exert on the Sun. It is a case of Newton's third law of motion which states that the force acting from one object to another is equal to the force acing from second object to the first object and the two forces must be in opposite direction. Hence, the gravitational force the rock exert on the Sun is same i.e. 29.9 N.
Answer:
The answer is below
Explanation:
The resistance of a conductor (R) is given by:
and ρ is resistivity
The length = 20cm = 0.2 m
The tube has an outer diameter of 1.1 cm (0.011 m), hence the outer area is:
A₁ = π * diameter²/4 = π * 1.1²/4 = 0.000095 m²
The tube has an inner diameter of 0.85 cm (0.0085 m), hence the inner area is:
A₂ = π * diameter²/4 = π * 0.0085²/4 = 0.0000567 m²
The conductor area = outer area - inner area = 0.000095 m² - 0.0000567 m² = 0.0000383 m²
Hence, the resistance is:
Answer:
Torque, 
Explanation:
Given that,
The number of turns in the coil, N = 47.5
Radius of the coil, r = 5.25 cm
Uniform magnetic field, B = 0.535 T
Current in the coil, I = 26.9 mA
The magnitude of the maximum possible torque exerted on the coil isg given by :
So, the magnitude of the maximum possible torque exerted on the coil is .
Answer:
The answer is below
Explanation:
The maximum height (h) of a projectile with an initial velocity of u, acceleration due to gravity g and at an angle θ with the horizontal is given as:
Given that the two projectile has the same height.
