Answer:
Velocity = v = 2.24m/s
Acceleration = a = 0.20m/s²
Explanation:
Please see attachment below.
Given
z=(−8 cosθ) and θ = 0.3t
z = -8Cos (0.3t)
V = dz/dt
a = v²/R.
Please see full solution below.
Answer:
84%
Explanation:
g = Acceleration due to gravity = 9.81 m/s²
x = 10 m
t = Time taken
= 3.5 m/s (assumed, as it is not given)
We have the equation
From continuity equation we have
Fraction is given by
The fraction is 84%
This is a way of measuring how much gravity there is. The formula is: weight/mass = gravitational field strength.
Gravitational field strength = Weight/mass unit is N/kg
Weight = mass x gravitational field strength unit is N
On Earth the gravitational field strength is 10 N/kg. Other planets have different gravitational field strengths. The Moon has a gravitational field strength of 1.6 N/kg. You might have seen films of astronauts leaping high on the moon.
Here on Earth, if I jump I am pulled back to ground by gravity. What is my weight? My mass is 80kg and if we multiply by gravitational field strength (10N/kg) - my weight is 800N. Now if I go to the moon, my mass will be the same, 80kg. We multiply that by the moon's gravitational field strength, which is 1.6 N/ kg. That means my weight on the moon is 128N. So I have different weights on the Earth and on the Moon. That's why astronauts can jump high into the air on the moon - they're lighter up there.
Jupiter is a very large planet with strong gravitational field strength of 25 N/ kg. My body is 80kg. If I go to Jupiter my weight is going to be 25 x 80 = 2,000 N. That means I wouldn't be able to get off the ground or stand up straight! I would probably be lying down all the time there. So weight varies depending on which planet you are on. You can find out more yourself by looking up tables of weight on different planets.
Answer;
Testable and falsifiable.
Explanation;
-The two traits that a hypothesis must have in order to be viable are; testable and falsifiable.
-A scientific hypothesis must be testable, which means that it should be possible to make observations that agree or disagree with it.
-Falsifiability of a hypothesis on the other hand, refers to the capacity for some proposition, statement, theory or hypothesis to be proven wrong. This is an essential component of the scientific method and the testing of a hypothesis.
Answer:
f= 0.48 s⁻¹
Explanation:
Given that
Mass of the ladder ,m= 6 kg
L= 2 m
Mass of artist ,M= 42 kg
The total moment of inertia of the both ladder and artist ,I
Here
I=50 kg.m²
The angular frequency f given as
Here
D=1 m
f= 0.48 s⁻¹