Answer:
V= 13 m/s
Explanation:
We're asked to find the magnitude of the object's velocity after a force is applied for
3
s
parallel to its motion.
We'll call the direction it's moving the positive
x
-axis, and the direction of the applied force the positive
y
-axis.
The components of the initial velocity are
v
0
x
=
5
m/s
v
0
y
=
0
(It's moving at
5
meters per second in the straight line we called the
x
-axis.)
We know the object's mass is
3
kg
, and the force applied is
12
N
in the positive
y
-direction. The magnitude of the constant acceleration is thus
a
y
=
∑
F
y
m
=
12
l
N
3
l
kg
=
4
m/s
2
Since this acceleration is directed upward, and the initial
y
-velocity is
0
, we can use the kinematics equation
v
y
=
v
0
y
+
a
y
t
to find the
y
-velocity after
3
seconds.
Plugging in known values, we have
v
y
=
0
+
(
4
l
m/s
2
)
(
3
l
s
)
=
12
m/s
No acceleration was applied in the
x
-direction, so it's
x
-velocity remains
5
m/s
. The magnitude of the velocity is thus
v
=
√
(
v
x
)
2
+
(
v
y
)
2
=
√
(
5
l
m/s
)
2
+
(
12
l
m/s
)
2
=
13
m/s
Answer:
The answer is "10.84 g".
Explanation:
The formula for calculating the number for moles:

In the given acid nitric:
Owing to the nitric acid mass = 
Nitric acid molar weight
If they put values above the formula, they receive:


In the given chemical equation:

In this reaction, 2 mols of nitric acid are produced by 1 mole of water.
So, 1.204 moles of nitric acid will be produced:

We are now using Equation 1 in determining the quantity of water:
Water moles 
Water weight molar 


Answer
Q=4479.8 cal
Procedure
To solve the problem you will need to use the specific heat formula

Where;
Q=heat energy
m=mass
c=specific heat capacity
ΔT=change in temperature
Assuming that the heat released from the cracker of unknown material is equal to the heat absorbed by the water, then we can use the c and m for water in our calculations.

Substituting the values in our equation we have

Finally, transform the J to cal
Answer: 50. 4g
Explanation:
First calculate number of moles of aluminium in 38.8g
Moles = 38.8g/ 26.982mol/g
= 1.44mol
By looking at the balance equation you can see that 4 moles of aluminium produce 2 moles of aluminium oxide.
4 = 2
1.4 = x
Find the value of x
x= (1.4×2)/4= 0.72 mol
0.72 moles of aluminium oxide are produced from 38.8g of aluminium
Now find the mass of aluminium produced.
Mass = moles × molar mass
= 0.72mol × 69.93 mol/g
= 50.4g