Answer: 2.5 m/s and 6.25 m
Explanation:
u = 0
a = 0.5 m/s²
t = 5 s
v = u + at
= 0 + 0.5 × 5
= <u>2.5 m/s</u>
s = ut + 1/2 at²
= 1/2 × 2.5 × 5
=<u> 6.25 m</u>
Gravity is a non contact force , jump from a little high place (don't do that :P) , you wont just get stuck in the air you will fall down , this is gravity you dont need any contact
Answer:
Beth went back toward her origin
Explanation:
Please, see the attached image that represent's Beth's path.
She started her walk 2 meters from the origin (0) and after 6 seconds she headed back to position zero (0) the origin. Notice the second half of the graph as a segment going down, thus reducing her distance from the origin, and getting closer to it.
Answer:
1302 K or 1029 C
Explanation:
Air at atmospheric pressure has pressure of 1 atm
20 C = 20 + 273 = 293 K
Assume ideal gas, according to the ideal gas law:

Where P1, V1 and T1 are the pressure, volume and temperature of the gas before the compression and P2, V2 and T2 are the pressure, volume and temperature of the gas after the compression

Since the gas is compressed to 1/9 of its original volume, V2/V1 = 1/9:
or 1029 C
Answer:
58.32 N
Explanation:
Area of a circle = 

where r is the radius of the circle.
The cylinder has a radius of 0.02 m, its area is;
= 

=
x 
=
x 0.0004
= 1.2571 x 
Area of the cylinder is 0.0013
.
The safety valve has a radius of 0.0075 m, its area is;
= 

=
x 
=
x 5.625 x 
= 1.7679 x 
Area of the valve is 0.00018
.
From Hooke's law, the force on the safety valve can be determined by;
F = ke
= 950 x 0.0085
= 8.075 N
Minimum force,
, required can be determined by;
= 
= 
= 
= 58.32
The minimum force that must be exerted on the piston is 58.32 N.