(a) According to Newton’s third law, for every action
there is an equal yet opposite reaction. In this case, the cannonball is
affected by 8.0x10^3 newtons in one direction. Now the cannon must also be
affected by the same amount of net force on the opposite direction.
- 8.0x10^3 Newtons (the negative symbol only shows that it
is opposite direction)
(b) We solve this using the formula:
F = m a
8.0x10^3 N = (1.0 kg) a
a = 8,000 m/s^2
We will convert the 1dm3 in terms of cm3 as follows:
1dm^3 = (10 cm)^3
= 1000 cm^3
The mass of platinum is equal to 900 lb.
Then we will convert the mass in terms of grams as follows:
1 lb = 453.6 g
900 = 900 x 453.6 g
= 408240 g
Then density of platinum is equal to 21.4 g/cm^3
We will calculate the volume of platinum in mass 408240 g as follows:
Volume of platinum = mass of platinum / density of platinum
= 408240 g / 21.4 g/cm^3
= 19076.6 cm^3
The total volume of platinum is 19076.6 cm^3
The volume of platinum in 1 L bar is 1000cm^3
So, to calculate the number of bars we will use the formula as follows;
Number of bars = volume of platinum available / volume of platinum required in 1 L bar
= 19076.6 cm^3 / 1000 cm^3
= 19
So, the number of bars are 19.
Answer:
7503.13 N/m
Explanation:
Use principle of conservation of energy.
Here, energy stored in the spring due to compression shall be utilized in attaining the potential energy of the mug.
Given that,
Length of the spring = 20 cm = 0.20 m
Compression, x = 8 cm = 0.08 m
mass of the mug, m = 350 g = 0.35 kg
h = 7 m
use the expression for energy balance -
(1/2)*k*x^2 = m*g*h
=> k = (2*m*g*h) / x^2
input the values
k = (2*0.35*9.8*7) / 0.08^2
= 7503.13 N/m
Answer:
Savannas have a fairly constant temperature all year; temperate grasslands have a greater seasonal temperature variation.
Explanation:
For example, the African Savanna has an almost constant temperature all year (see the first figure below).
The difference between summer and winter temperatures is only about 5 °C, and the rate of temperature change is quite slow.
The temperature of a temperate grassland (see the second figure below) has a much greater seasonal variation.
The summers are hot, and the winters are cold. The difference between summer and winter temperatures is about 30 °C, with a rapid rate of temperature change from one season to the next.
Answer:
the answer is B
Explanation: this was actually an ap exam question a few years back. the reason for answer B is that the only force being applied to the kitten is the force of gravity after being pushed.
