Answer:
45.6°C
Explanation:
Kinetic energy =
Use m= 1.80kg and v=7.80m/s (mass and speed of hammer).
K = 0,5*1.80kg*(7.80m/s)^2 = K=54.8J
Heat is 60% of Kinetic energy. Q = 0.6*54.8J = 32.9J
As it is stuck 10 times the total heat is 10*32.9J = Total Heat = 329J
Use the equation to find change of temperature:
Q = 329J; m = 8.00g of aluminium; C_v = 0.900J/g°C (For aluminium)
Calculating gives Change of Temperature = 45.6°C
Answer:
Fundamental frequency= 174.5 hz
Explanation:
We know
fundamental frequency=
velocity =
mass per unit length==0.00427
Now calculating velocity v=
=244.3
Distance between two nodes is 0.7 m.
Plugging these values into to calculate frequency
f = =174.5 hz
Answer:
The horizontal distance traveled by the projectile is 15.23 m.
Explanation:
Given;
angle of projection, θ = 25⁰
initial velocity of the projectile, u = 15 m/s
time of flight, t = 1.12 s
The the travelling path of the object is calculated as the range of the projectile
Therefore, the horizontal distance traveled by the projectile is 15.23 m.
Hello!
Recall the period of an orbit is how long it takes the satellite to make a complete orbit around the earth. Essentially, this is the same as 'time' in the distance = speed * time equation. For an orbit, we can define these quantities:
← The circumference of the orbit
speed = orbital speed, we will solve for this later
time = period
Therefore:
Where 'r' is the orbital radius of the satellite.
First, let's solve for 'v' assuming a uniform orbit using the equation:
G = Gravitational Constant (6.67 × 10⁻¹¹ Nm²/kg²)
m = mass of the earth (5.98 × 10²⁴ kg)
r = radius of orbit (1.276 × 10⁷ m)
Plug in the givens:
Now, we can solve for the period: