Answer:
28.7 m at 46.9°
Explanation:
The x component of the displacement is:
x = 6 m cos 0° + 25 m cos 57°
x = 19.6 m
The y component of the displacement is:
y = 6 m sin 0° + 25 m sin 57°
y = 21.0 m
The total displacement is found with Pythagorean theorem:
d = √(x² + y²)
d = 28.7 m
And the direction is found with trig:
θ = tan⁻¹(y/x)
θ = 46.9°
Answer:
last answer
Explanation:
gripping it with the blade facing downward is the most efficient and safe way to use an exacto knife
Answers:
a) 198,55 s
b) 4687.98 m
Explanation:
a) Speed is defined as the variation of the position (distance traveled )of a body or object with time :
(1)
We are told the cheetah runs a distance of with a speed (Knowing and ), and we need to find the time it takes to travel that distance.
This means we have to find from (1):
(2)
(3)
(4)
b) Now, if we want to know the distance the cheetah will cover with in , we have to isolate from (1):
(5)
(6)
Finally:
<u>We are given:</u>
Mass of load = 140 kg
Acceleration = 0.4 m/s² downward (from Q24)
<u>24. Finding the tension in the cable:</u>
Ma = Mg - T
where 'a' is the acceleration of the load and T is the tension in the cable
replacing the variables, we get:
(140)(0.4) = (140)(9.8) - T
T = (140)(9.8) - (140)(0.4)
T = 1372 - 56
T = 1316N
<u>25. Finding the distance covered when the load accelerates for 20 s:</u>
in this case, the load will start from rest
so, initial velocity = 0 m/s
acceleration = 0.4 m/s²
from the second equation of motion:
s = ut + (1/2)at²
where s is the distance covered, u is the initial velocity and t is the time taken
s = (0)(20) + (1/2)(0.4)(20)²
s = 0 + 0.2*(400)
s = 80 m
here we didn't take the acceleration due to gravity of the mass into consideration because it is connected to the crane, which would act against any forces and since we are given that the total acceleration is 0.4 m/s², we will just assume that it's the final acceleration of the mass
Mercury is the closest planet to the sun.
Venus is second planet. Venus has no moons.
Earth is the third planet. This is the only planet that is known to inhabit life.
Mars is the fourth planet. Mars is called the "red planet" and has two moons.
Jupiter is the fifth planet in our solar system. Jupiter is the biggest planet in our solar system.
Saturn is the sixth planet. It has 31 moons.
Uranus is the seventh planet. It is a greenish-blue planet.
Neptune is the eight planet. On Neptune, temperatures stay colder than -350 Fahrenhiet.
Pluto is no longer a planet, but if you weighed 100 pounds on Earth, then you would weight 7-8 pounds on Pluto. But your mass would be the same.